SETS Flashcards
(15 cards)
What is a set?
A set is a collection of distinct objects, considered as an object in its own right.
True or False: A set can contain duplicate elements.
False
What notation is used to denote a set?
Sets are typically denoted using curly braces, e.g., {a, b, c}.
Fill in the blank: The empty set is denoted by _____ .
∅ or {}
Define a finite set.
A finite set is a set with a limited number of elements.
What is an infinite set?
An infinite set is a set that has an unlimited number of elements.
Multiple Choice: Which of the following is an example of a subset? A) {1, 2} B) {1, 2, 3} C) {2, 3, 4}
A) {1, 2} is a subset of {1, 2, 3}.
True or False: The universal set contains all possible elements under consideration.
True
What is the power set of a set?
The power set is the set of all possible subsets of a given set.
What symbol denotes the union of two sets?
The union of two sets is denoted by the symbol ∪.
Fill in the blank: The intersection of sets A and B is denoted by _____ .
A ∩ B
Define a proper subset.
A proper subset is a subset that is not identical to the original set.
Multiple Choice: Which of the following is NOT a type of set? A) Finite set B) Infinite set C) Random set
C) Random set
True or False: Two sets are equal if they have the same elements.
True
What does the notation A - B represent?
The notation A - B represents the difference between sets A and B, containing elements in A that are not in B.